True HIV Positive (PHIV) | True HIV Negative (1 − PHIV) | |||||||
---|---|---|---|---|---|---|---|---|
Outcomes | DHC+, EIA+, WB+ | DHC-, EIA+, WB+ | DHC+, EIA- | DHC-, EIA- | DHC+, EIA- | DHC+, EIA+, WB- | DHC-, EIA+,WB- | DHC-, EIA- |
Probability of result | (PHIV ∗ SenDHC ∗ SenEIA ∗ SenWB) | (PHIV ∗ (1 − SenDHC) ∗ SenEIA ∗ SenWB ) | (PHIV ∗ SenDHC ∗ (1 − SenEIA)) | (PHIV∗ (1 − SenDHC) ∗ (1 − SenEIA)) | ((1 − PHIV) ∗ (1 − SpecDHC) ∗ SpecEIA) | ((1 − PHIV) ∗ (1 − SpecDHC) ∗ (1 − SpecEIA) ∗ SpecWB ) | ((1 − PHIV) ∗ SpecDHC ∗ (1 − SpecEIA) ∗ SpecWB ) | ((1 − PHIV) ∗ SpecDHC ∗ SpecEIA ) |
Inputs | ||||||||
 Visit 1: Initial Screening | ||||||||
  Consult time | 20 min | 20 min | 20 min | 20 min | 20 min | 20 min | 20 min | 20 min |
  Medicate Rebate | $71.701 | $71.701 | $71.701 | $71.701 | $71.701 | $71.701 | $71.701 | $71.701 |
  Staffing | GP | GP | GP | GP | GP | GP | GP | GP |
 Pathology costs | ||||||||
  Rapid Alere Determine Test (DHC) | $11 | $11 | $11 | $11 | $11 | $11 | $11 | $11 |
  EIA | $15.652 | $15.652 | $15.652 | $15.652 | $15.652 | $15.652 | $15.652 | $15.652 |
  WB confirmatory | $29.003 | $29.003 | $29.003 | $29.003 | ||||
 Visit 2: Test Results | ||||||||
  Consult time | 40 min | 40 min | 20 min | 20 min | 20 min | 20 min | ||
  Medicare Rebate | $105.554 | $105.554 | $71.701 | $71.701 | $71.701 | $71.701 | ||
  Staffing | GP | GP | GP | GP | GP | GP | ||
Total Cost of Each Outcome | $232.90 | $232.90 | $170.05 | $98.35 | $170.05 | $199.05 | $199.05 | $98.35 |
Average cost per person tested | =(PHIV ∗ SenDHC ∗ SenEIA ∗ SenWB) ∗ AC per True HIV PositiveDHC + , EIA + , WB+ + (PHIV ∗ (1 − SenDHC) ∗ SenEIA ∗ SenWB) ∗ AC per True HIV PositiveDHC − , EIA + , WB+ + (PHIV ∗ SenDHC ∗ (1 − SenEIA)) ∗ AC per False NegativeDHC + , EIA− + (PHIV ∗ (1 − SenDHC) ∗ (1 − SenEIA)) ∗ AC per False NegativeDHC − , EIA− + ((1 − PHIV) ∗ (1 − SpecDHC) ∗ SpecEIA) ∗ AC per False HIV PositiveDHC + , EIA− + ((1 − PHIV) ∗ (1 − SpecDHC) ∗ (1 − SpecEIA) ∗ SpecWB) ∗ AC per False HIV PositiveDHC + , EIA + , WB− + ((1 − PHIV) ∗ SpecDHC ∗ (1 − SpecEIA) ∗ SpecWB) ∗ AC per False HIV PositiveDHC − , EIA + , WB− + ((1 − PHIV) ∗ SpecDHC ∗ SpecEIA) ∗ AC per True NegativeDHC − , EIA− | |||||||
Average number of tests for a positive diagnosis | \( =\frac{1}{\left({P}_{HIV}\ast Se{n}_{DHC}\ast Se{n}_{EIA}\ast Se{n}_{WB}\right)+\left({P}_{HIV}\ast \left(1- Se{n}_{DHC}\right)\ast Se{n}_{EIA}\ast Se{n}_{WB}\right)} \) |